Homogeneous locally nilpotent derivations of non-factorial trinomial algebras

TL;DR

This paper classifies homogeneous locally nilpotent derivations for a broad class of affine trinomial hypersurfaces, including all non-factorial cases, advancing understanding of their algebraic structure.

Contribution

It provides a complete description of homogeneous locally nilpotent derivations for non-factorial trinomial hypersurfaces, a class not previously fully characterized.

Findings

Classification of derivations for non-factorial trinomial hypersurfaces

Extension of known results to a broader class of hypersurfaces

Enhanced understanding of algebraic structure of these hypersurfaces

Abstract

We describe homogeneous locally nilpotent derivations of the algebra of regular functions for a class of affine trinomial hypersurfaces. This class comprises all non-factorial trinomial hypersurfaces.